Experimental characterization of multiple cracks in a cantilever beam utilizing transient vibration data following a probabilistic approach

Abstract

NOTICE: this is the author's version of a work that was accepted for publication in Journal of Sound and Vibration. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Sound and Vibration, 2007; 305(1-2) Elsevier's AAM Policy: Authors retain the right to use the accepted author manuscript for personal use, internal institutional use and for permitted scholarly posting provided that these are not for purposes of commercial use or systematic distribution. Permitted scholarly postingVoluntary posting by an author on open websites operated by the author or the author's institution for scholarly purposes, as determined by the author, or (in connection with preprints) on preprint servers. 3

RETRACTED: System identification of an enclosure with leakages using a probabilistic approach

“…The result of Equation (A2) is then substituted into Equation (8) and omitting the second term at the right-hand side of Equation (8) which is related to the point sound source, the following expression can then be derived …”

On the selection of advanced signal processing techniques for guided wave damage identification using a statistical approach

“…Vibration-based damage identification methods [5][6][7][8][9][10][11], which rely on low-frequency vibration characteristics of structures to identify damages, have been extensively investigated, for example, especially in the fields of civil and mechanical engineering. Although low-frequency vibration methods can be used to globally monitor structures, they are generally not sensitive to local incipient damages [4], however, which means that damages as small as a centimeter and can threaten the safe operation of structures.…”

Guided wave damage characterisation in beams utilising probabilistic optimisation

“…The posterior PDF of the system parameter vector è for the given D and M can be approximated by a weighted sum of Gaussian distributions centred at the Q optimal points [6,19,23,24].…”

“…Conventional A-or C-scan ultrasonic techniques require measurements in the close vicinity of the damage, which is usually not feasible for large structures due to high costs and poor accessibility. Low-frequency damage detection methods that utilise natural frequencies [1], modeshapes [2][3][4] or time domain dynamic responses [5][6] are able to monitor the health of entire structures, but rely on low-frequency characteristics that are insensitive to small damage and usually return large errors for higher frequencies. A comprehensive review of these methods is given in [7].…”